Question

A circular wire loop of radius $a$ and resistance $R$ is pulled with constant speed $v$ into a uniform magnetic field $B .$ The loop is perpendicular to the field, and it begins entering the field at time $t=0 .$ Find an expression for the current in the loop from $t=0$ until the loop is fully immersed in the field.

Name: A circular wire loop of radius a and resistance R is pulled with constant speed v into a uniform magnetic field B . The loop is perpendicular to the field, and it begins entering the field at time t=0 . Find an expression for the current in the loop from t=0 until the loop is fully immersed in the field.
Uploaded: 2023-08-20T05:02:55-08:00
Duration: 1 min 1 s
Channel: Anand Jangid
Description: A circular wire loop of radius a and resistance R is pulled with constant speed v into a uniform magnetic field B . The loop is perpendicular to the field, and it begins entering the field at time t=0 . Find an expression for the current in the loop from t=0 until the loop is fully immersed in the field.

          A circular wire loop of radius $a$ and resistance $R$ is pulled with constant speed $v$ into a uniform magnetic field $B .$ The loop is perpendicular to the field, and it begins entering the field at time $t=0 .$ Find an expression for the current in the loop from $t=0$ until the loop is fully immersed in the field.

Added by Guillermo P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Anand Jangid

08/20/2023

Step 1

As the loop is pulled into the magnetic field, a changing magnetic flux is passing through the loop, which induces an emf according to Faraday's law: $$\mathcal{E}=-\frac{d\Phi}{dt}$$ where $\mathcal{E}$ is the induced emf and $\Phi$ is the magnetic flux Show more…

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A circular wire loop of radius $a$ and resistance $R$ is pulled with constant speed $v$ into a uniform magnetic field $B .$ The loop is perpendicular to the field, and it begins entering the field at time $t=0 .$ Find an expression for the current in the loop from $t=0$ until the loop is fully immersed in the field.